4(y+1)-3-5y=2(y-2)

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Solution for 4(y+1)-3-5y=2(y-2) equation: 


Simplifying
4(y + 1) + -3 + -5y = 2(y + -2)

Reorder the terms:
4(1 + y) + -3 + -5y = 2(y + -2)
(1 * 4 + y * 4) + -3 + -5y = 2(y + -2)
(4 + 4y) + -3 + -5y = 2(y + -2)

Reorder the terms:
4 + -3 + 4y + -5y = 2(y + -2)

Combine like terms: 4 + -3 = 1
1 + 4y + -5y = 2(y + -2)

Combine like terms: 4y + -5y = -1y
1 + -1y = 2(y + -2)

Reorder the terms:
1 + -1y = 2(-2 + y)
1 + -1y = (-2 * 2 + y * 2)
1 + -1y = (-4 + 2y)

Solving
1 + -1y = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
1 + -1y + -2y = -4 + 2y + -2y

Combine like terms: -1y + -2y = -3y
1 + -3y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
1 + -3y = -4 + 0
1 + -3y = -4

Add '-1' to each side of the equation.
1 + -1 + -3y = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = -4 + -1
-3y = -4 + -1

Combine like terms: -4 + -1 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667

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